On the distance spectral radius of trees

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August undefined, 2024

Web25 de dez. de 2024 · The extremal results on the distance spectral radius of trees may be found in [12,20] with fixed matching number, in [20,21] with given number of leaves, in …

On Minimum Terminal Distance Spectral Radius of Trees with …

WebThe distance spectral radius of is the largest absolute value of the eigenvalues of . Thus, the distance spectral radius of , denoted by , is exactly the largest eigenvalue of . The … Webthe spectral radius of the terminal distance matrix RD(G) of graph G. This index is less studied in the literature, yet its behavior is alike that of DSR(at least, for trees). … is kucoin chinese exchange

Distance spectral radius of trees with fixed number of pendent …

Web23 de out. de 2013 · For a connected graph, the distance spectral radius is the largest eigenvalue of its distance matrix. In this paper, of all trees with both given order and … Web28 de ago. de 2010 · The distance spectral radius of , denoted as , is the largest eigenvalue of the distance matrix . Distance energy is a newly introduced molecular … Web9 de dez. de 2024 · Abstract. The distance Laplacian matrix of a connected graph is defined as , where is the distance matrix of and is the diagonal matrix of vertex … keyence inspection system

The distance spectral radius of trees Request PDF - ResearchGate

Webtance spectral radius. As a corollary, we determine the unique tree with the second maximal distance spectral radius. We conclude the paper by posing a conjecture on the structure of the extremal tree that minimizes the distance spectral radius. 2. The star Sn has minimum distance spectral radius. The distance ma-trix of Sn has the form DS n = Webspectral radius of Coxeter elements. The Coxeter diagram D of (W,S) is the weighted graph whose vertices are the set S, and whose edges of weight m ij join s i to s j when m ij ≥ 3. If D is a tree (such as one of the familiar spherical diagrams A n, B n, D n or E n), then the Coxeter elements w ∈ W range in a single conjugacy class. is kucoin fca regulatedWeb23 de jan. de 2024 · The generalized distance spectral radius of a connected graph is the spectral radius of the generalized distance matrix of , defined by where and denote the distance matrix and diagonal matrix of the vertex transmissions of , respectively. This paper characterizes the unique graph with minimum generalized distance spectral radius … keyence inspection cameras

"Web1 de ago. de 2010 · The distance spectral radius @r (G) of a graph G is the largest eigenvalue of the distance matrix D (G). Recently, many researches proposed the use … " - On the distance spectral radius of trees

On the distance spectral radius of trees

On the spectral radius and the energy of eccentricity matrices of ...

Web13 de jun. de 2013 · For trees and unicyclic graphs, distance energy is equal to the doubled value of the distance spectral radius. In this paper, we introduce a general … Web15 de abr. de 2013 · Distance spectral radius of graphs with given domination number In this section, we determine the unique tree of given domination number withminimum …

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WebIndulal in [11] has found sharp bounds on the distance spectral radius and the distance energy of graphs. In [10]Ili´c characterized n-vertex trees with given matching number, which minimize the distance spectral radius. Liu has characterized graphs with minimal distance spectral radius in three Web16 de dez. de 2024 · The eccentricity matrix . ϵ (G) of a connected graph G is obtained from the distance matrix of G by retaining the largest distance in each row and each column and setting the remaining entries as 0. The eccentricity matrices of graphs are closely related to the distance matrices of graphs, nevertheless a number of properties of eccentricity …

WebOn distance spectral radius of trees with fixed maximum degree. 本文我们确定了:在n个顶点,最大度为定值且不少于「n/2 (])的树中具有最小距离谱半径的树,这个树是唯一的; … Webthe spectral radius of the terminal distance matrix RD(G) of graph G. This index is less studied in the literature, yet its behavior is alike that of DSR(at least, for trees). Therefore, a conjecture similar to Conjecture 1 can be put for TDSR: Conjecture 2. The BFS-tree has the minimum terminal distance spectral radius among all trees with the ...

Web万方数据知识服务平台-中外学术论文、中外标准、中外专利、科技成果、政策法规等科技文献的在线服务平台。 Web21 de nov. de 2024 · Accepted: 27 May 2024. Abstract. The distance spectral radius of a connected graph is the largest eigenvalue of its distance matrix. In this paper, we give several less restricted graft transformations that decrease the distance spectral radius, and determine the unique graph with minimum distance spectral radius among home …

Web14 de abr. de 2024 · Lastly, we measured two site-specific habitat covariates that could help to explain frog occupancy: (1) percent (%) of tree canopy within a 200-m radius of each point (this radius is based on movement distances reported by Johnson et al. 2007), and (2) distance (m) to nearest standing body of water or wetland.

WebThe distance spectral radius ρ(G) of a graph G is the largest eigenvalue of the distance matrix D(G). ... "Distance spectral radius of trees with fixed number of pendent … keyence inventory control programsWebOn distance spectral radius of trees with fixed maximum degree. 本文我们确定了:在n个顶点,最大度为定值且不少于「n/2 (])的树中具有最小距离谱半径的树,这个树是唯一的;在2m个顶点,最大度为定值且不少于「m/2 (])+1的完美匹配树中具有最小距离谱半径的树,这个树是唯一 … keyence inspectionWeb15 de jan. de 2005 · Of all the trees on n vertices and k pendant vertices, the maximal spectral radius is obtained uniquely at T n,k . Proof. We have to proof that if T ∈ T n,k … keyence instant measuring systemWeb1 de mar. de 2010 · We determine the unique tree that maximizes (respectively minimizes) the distance spectral radius over all trees on n vertices with k pendant paths of length … keyence inspection toolsWeb10 de abr. de 2024 · Let . ρ (S α (G)) be the spectral radius of . S α (G). This paper presents results on S α ( G ) with emphasis on ρ ( S α ( G ) ) and some results on S ( G ) are extended to all α in some subintervals of [ 0 , 1 ] . keyence gs seriesWeb14 de jun. de 2024 · W. Ning, L. Ouyang, M. Lu, Distance spectral radius of trees with fixed number of pendant vertices, Linear Algebra Appl. 439 (2013) 2240-2249. Article MathSciNet Google Scholar A. Niu, D. Fan and G. Wang, On the distance Laplacian spectra of bipartite graphs, Discrete Appl. Math. 186 (2015) 207-213. Article MathSciNet ... keyence ip configuratorWebgeneralized version of the reverse distance matrix and alsostudy its spectral radius for trees with given degree sequence. We prove that the spectral radius is always … is kucoin irs compliant